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Finding the Third Proportional to 10,221.75 and 18,924.75

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Solution

The third proportional to 10,221.75 and 18,924.75 is: 35,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.75 : 18,924.75 = 18,924.75 : x
  2. Step 2: Convert to fraction form
    10,221.75/18,924.75 = 18,924.75/x
  3. Step 3: Cross multiply
    10,221.75x = 18,924.75 × 18,924.75
  4. Step 4: Simplify right side
    10,221.75x = 358,146,162.56
  5. Step 5: Solve for x
    x = 358,146,162.56/10,221.75
  6. Step 6: Final answer
    x = 35,037.66

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.